The number 97371
97371 is a composite number with 12 divisors. Its prime factorisation is × 31 × 349. Divisors (12): 1, 3, 9, 31, 93, 279, 349, 1047, 3141, 10819, 32457, 97371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97371 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97371 is composite. Its prime factorisation is
- 3
The divisors add up to 145600; without 97371 itself that is 48229, so 97371 is deficient (48229 is less than 97371). Euler's totient φ(97371) = 62640 numbers up to 97371 share no factor with it.
- 4
The digits of 97371 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97371 = 3^{2} \times 31 \times 349 \]97371 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 145600 |
| Euler totient φ(n) | 62640 |
| Square | 9481111641 |
| Cube | 923185321595811 |
| Square root | 312.043266 (= 3√10819) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7371 × |
97371 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and seventy-one |
| Binary (base 2) | 10111110001011011 |
| Octal (base 8) | 276133 |
| Hexadecimal (base 16) | 17C5B |
| Base 3 | 11221120100 |
| As time | 97371 seconds = 27 h 2 min 51 s |
Is 97371 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97371 ÷ 3 = 32457) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97371 ÷ 9 = 10819) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97371 a prime number?
No. 97371 = × 31 × 349, so it is divisible by 3.
What are the factors of 97371?
1, 3, 9, 31, 93, 279, 349, 1047, 3141, 10819, 32457, 97371.
What is 97371 in binary?
10111110001011011 (hexadecimal 17C5B, octal 276133).
What is the square root of 97371?
About 312.0433, exactly 3√10819.
Is 97371 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97371?
It is a composite number with 12 divisors.